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2 years ago

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Based on the data in this two-way table, which statement is true? Type of Flower/Color Red Pink Yellow Total Rose 40 20 45 105 H

ibiscus 80 40 90 210 Total 120 60 135 315 A flower being pink and a flower being a rose are independent of each other. A flower being pink is dependent on a flower being a rose. A flower being a rose is dependent on a flower being pink. A flower being pink and a flower being a rose are the same. NextReset

2 answers:

KATRIN_1 [288]2 years ago

8 0

The answer would be
A.) A flower being pink and a flower being a rose are independent of each other

luda_lava [24]2 years ago

7 0

Answer:

A. a flower being pink and a flower being a rose are independent of each other.

Step-by-step explanation:

Type of Flower/Color Red Pink Yellow Total

Rose 40 20 45 105

Hibiscus 80 40 90 210

Total 120 60 135 315

Now the probability, if the flower is pink = $\frac{60}{315}=\frac{4}{21}$

The probability that the flower is rose = $\frac{105}{315}=\frac{1}{3}$

Te probability that flower is pink and rose = $\frac{20}{315}$ = $\frac{4}{63}$

Also we can see, $\frac{4}{21} \times \frac{1}{3} =\frac{4}{63}$

Therefore, we can state that events are independent.

Hence, option A is correct.

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Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options,

ElenaW [278]

Answer:

These are the rectangular prisms that have a surface area greater than 140 square feet

6 feet by 5 feet by 4 feet

7 feet by 6 feet by 4 feet

8 feet by 3 feet by 7 feet

Step-by-step explanation:

The formula to find the surface area of a rectangular prism is SA=2(wl+hl+hw)

All you have to do is go through all the options given to you to figure out which retangular prisms have a surface area greater than 140 square feet.

6 feet by 2 feet by 3 feet

SA = 2((2)(6)+(3)(6)+(3)(2))

SA = 2(12 + 18 + 6)

SA = 2(36)

SA = 72

6 feet by 5 feet by 4 feet

SA = 2((6)(5) + (4)(5) + (4)(6))

SA = 2(30 + 20 + 24)

SA = 2(74)

SA = 148

7 feet by 6 feet by 4 feet

SA = 2((7)(6) + (4)(6) + (4)(7))

SA = 2(42 + 24 + 28)

SA = 2(94)

SA = 188

8 feet by 3 feet by 7 feet

SA = 2((8)(3)+(7)(3)+(7)(8))

SA = 2(24 + 21 + 56)

SA = 2(101)

SA = 202

8 feet by 4 feet by 3 feet

SA = 2((8)(4)+(3)(4)+(3)(8))

SA = 2(32 + 12 + 24)

SA = 2(68)

SA = 136

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2 years ago

Sharon is assessing the popularity of two fashion magazines for her blog. The number of subscribers to magazine A and the number

Marta_Voda [28]

<span>1) The number of subscribers to magazine A in 2000 is 5,000 more than the number of subscribers to magazine B in 2000.

2) Which of the following describes the number of subscribers represented by the tables?
The number of subscribers to both magazines are decreasing.

3) As the number of years since 2000 increases, the number of subscribers both magazines approach zero.</span>

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2 years ago

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A ramp leading into a building makes a 15o angle with the ground. the end of the ramp is 10 feet from the base of the building.

Oksanka [162]

We are tasked to solved for the length of the ramp having an inclination of 15 degrees with the ground and 10 feet from the end of the ramp to the base of the building of the ground. Using trigonometric properties, we have a formula given an angle and the its opposite sides which is,
sin(Angle)=opposite/hypothenuse
hypothenuse would be the distance or the length of the ramp.
so we have,
sin(15)=10/hypothenuse
Cross-multiply, we have,
hypothenuse=10/sin(15)
using scientific calculator having a DEG mode,
hypothenuse=38.63703
Rounding of in nearest tenth we get,
hypothenuse=38.6 ft
Therefore, the ramp is 38.6 ft long

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2 years ago

4p - 10 = 6; 4,5,6<br> Determine the value of p.

fenix001 [56]

Answer: p= 4

Step-by-step explanation: 4p - 10 = 6

4p-10=6

4p=16

p=4

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2 years ago

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An equation was created for the line of best fit from actual enrollment data. It was used to predict the dance studio enrollment

stealth61 [152]

Answer: First option is correct.

Step-by-step explanation:

Enrollment month Actual Predicted Residual

January 500 8 4

February 400 15 -1

March 550 15 -1

April 13 12 -1

May 16 17 -1

June 14 15 -1

Since we know that

Residual value = Actual value - Predicted value

Sum of residuals is given by

$4-1-1+1-1-1=1$

since we can see that sum of residual is more than 0.

So, it can't be a good fit .

Hence, No, the equation is not a good fit because the sum of the residuals is a large number.

Therefore, First option is correct.

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2 years ago